Three charges of +q ,+q ,-q are placed on the corner of an equilateral triangle then the electrostatic potential at the centroid of the triangle will be
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12th
Physics
Electric Charges and Fields
Coulomb's Law and Its Applications
Three charges - q, + q and...
PHYSICS
Three charges −q,+q and −q are placed at the corners of an equilateral triangle of side a. The resultant electric force on a charge +q placed at the centroid O of the triangle is:
January 17, 2020
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Rajarshi Baranwal
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ANSWER
cos30
0
=
2x
a
x=
2
3
2a
x=
3
a
The net force on x axis is cancelled by the below two (−q) charges.
∴ Force on y axis adds up
F
y
=
(
3
a
)
2
k(q)(q)
+
(
3
a
)
2
k(q)(q)
×cos60
0
×2
F
y
=
a
2
3kq
2
+
a
2
3kq
2
F
y
=
a
2
6kq
2
F
y
=
4a
2
πε
0
6q
2
=
2a
2
πε
0
3q
2
solution
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